$A$ clock is placed such that at $12$ noon,its minute hand points towards the north-east. In which direction does its hour hand point at $1:30 \,p.m.$?

In a square arrangement,let the initial positions be $A$ (North-West),$B$ (North-East),$C$ (South-East),and $D$ (South-West). $C$ and $A$ move diagonally to opposite corners and then one side each clockwise and anticlockwise respectively. $B$ and $D$ move two sides each clockwise and anticlockwise respectively. Who is at the North-West corner?

$A$ man leaves for his office from his house. He walks towards east. After moving a distance of $20 \, m$,he turns towards south and walks $10 \, m$. Then he walks $35 \, m$ towards west and further $5 \, m$ towards north. He then turns towards east and walks $15 \, m$. What is the straight distance in metres between his initial and final positions?

Johnson left for his office in his car. He drove $15 \, km$ towards north and then $10 \, km$ towards west. He then turned to the south and covered $5 \, km$. Further,he turned to the east and moved $8 \, km$. Finally,he turned right and drove $10 \, km$. How far and in which direction is he from his starting point?

Kailash faces towards north. Turning to his right, he walks $25\; metres$. He then turns to his left and walks $30\; metres$. Next, he moves $25\; metres$ to his right. He then turns to his right again and walks $55\; metres$. Finally, he turns to the right and moves $40\; metres$. In which direction is he now from his starting point?

$A$ man is facing west. He turns $45^{\circ}$ in the clockwise direction and then another $180^{\circ}$ in the same direction and then $270^{\circ}$ in the anticlockwise direction. Which direction is he facing now?